Reductivity of the Lie Algebra of a Bilinear Form
Reductivity of the Lie Algebra of a Bilinear Form
Let f: V × V → F be a totally arbitrary bilinear form defined on a finite dimensional vector space V over a field F, and let L(f) be the subalgebra of 𝔤𝔩(V) of all skew-adjoint endomorphisms relative to f. Provided F is algebraically closed of characteristic not 2, we …